least squares regression line - In the 2014 - 2015, season of the English Premier League, there were 20 soccer teams, and each team played a total of 38 matches. The scatter plot below shows the average number of goals each team scored per match, and how many total matches each team won. Each dot on the scatter plot represents a team. A line was fit to the data to model the relationship between scoring goals and winning games. Which of these linear equations best describes the given model? Choose 1 answer:

Sangeetha Pulapaka (last edited 1 year ago) (Expert, Educator @Qalaxia)

If this is the rest of the question,

The correct option will be option B.

And the number of wins is 24.5.

The line passes through the points (0.25,0) and (0.75,7) so the slope is \frac{7-0}{0.75-0.25} = 14

We can see that the y-intercept is at -3.5. So the equation that best describes the model is \widehat{y} = 14 x -3.5

Plugging in x =2 because we want the number of wins for 2 matches played, we get,

\widehat{y} = 14x - 3.5

\widehat{y} = 14(2) - 3.5

\widehat{y} = 28 - 3.5

\widehat{y} = 24.5

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